A car travels at a constant speed of 40 mph on the highway. Write an expression to find the distance the car travels for any number of hours. Let the variable h represent the number of hours.

if there is 2 pizza and 5 children then 1/5 (fraction) of a pizza, or two slices, must be given to each child.

Start with two pizzas of equal size. Cut each pizza into 5 equal slices, so you have a total of 10 slices. Give each child 2 slices of pizza. Each child receives 2 slices of pizza, which is:

2/10 = 1/5 of a pizza

Each child now has 1/5 of a pizza.

Since there are 5 children, the total amount of pizza shared is:

5 × (1/5) = 1 pizza

Therefore, each child has 1/5 of a pizza, or 0.2 of a pizza.

To get the total amount of pizza that was shared, we can add up the amount of pizza each child received:

5 × (2/10) = 1 pizza

So, each child receives 2 slices of pizza, which is 1/5 of a pizza, and the total amount of pizza shared is 2 pizzas, or 1 whole pizza per 2 children.

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The equation of the parabola is y = 2(x - 1)² + 3

From the question, we have the following parameters that can be used in our computation:

Vertex = (1. 3)

Point = (2, 5)

These parameters can be expressed as

(h, k) = (1, 3)

(x, y) = (2. 5)

A parabola can be represented as

y = a(x - h)² + k

Substitute the known values in the above equation, so, we have the following representation

y = a(x - 1)² + 3

Next, we have

5 = a(2 - 1)² + 3

Evaluate the difference and the exponent

5 = a + 3

So, we have

a = 2

Substitute a = 2 in y = a(x - 1)² + 3

y = 2(x - 1)² + 3

Hence, the equation is y = 2(x - 1)² + 3

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Answer:

the weight of a male: G+M

total weight of females: A

weight of child: G

total weight of adults: M+A

Step-by-step explanation:

i mean... u got it right

Answer:

elaborate

Step-by-step explanation:

Answer: 127

Step-by-step explanation:

<TWV is the sum of the other 2 angles.  Create your equation

<UWV + <TWU = < TWV

n + 45 + 8n + 127 = -10n +77               >Combine like terms

9n + 172 = -10n +77                             > add 10n to both sides

19n +172 = 77                                        >Subtract 172 from both sides

19n = -95                                              >Divide by 19 to both sides

n= -5                                                     >plug back in to find angle

<TWV = -10n +77

<TWV =  -10(-5) +77

<TWV = 127

The domain of the function is all positive real numbers, representing the possible diameters of the rope, while the range is all positive real numbers, indicating the potential breaking strengths of the manila rope.

The domain of the function is all positive real numbers since the diameter of a rope cannot be negative or zero. However, it is important to note that in practical terms, the diameter should also have a minimum value, typically determined by the manufacturing specifications or practical constraints.

The range of the function represents the possible breaking strengths of the manila rope. Since the function is defined as z = 8900d^2, where d is the diameter, the breaking strength (z) will always be a positive value. As the diameter increases, the breaking strength also increases, and there is no upper limit to the breaking strength. However, it is essential to consider practical limitations, such as the maximum load capacity of the material used or any physical constraints that may prevent the rope from achieving extremely high breaking strengths.

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Answer:

56.52 units² or 18π units²

Step-by-step explanation:

The formula for the area of a sector is:

A = πr²(x/360°)

where r is the radius and x is the measure of the central angle

Let's substitute the given measures into this equation:

A = πr²(x/360°)

A = (3.14)(12²)(45/360)

Solve:

A = (3.14)(12²)(45/360)

A = (3.14)(144)(45/360)

A = (452.16)(45/360)

A = (452.16)(.125)

A = 56.52

Therefore, the area of the sector is 56.52 units² or 18π units²

Answer:

second one!

Step-by-step explanation:

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

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Answer:

x=20

x= -20

Step-by-step explanation:

Answer:

x > 3

Step-by-step explanation:

3(x+4) > 21

3x+ 12 > 21

3x > 9

x >3

Answer:

\(3(x+4)>21 divide 3\\x+4 > 7\\x>3\)

Step-by-step explanation:

Hope this helps plz hit the crown :D

well, from the picture, the cylinder has a diameter of 12, thus a radius of 6 and a height of 40, so

\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=40 \end{cases}\implies SA=2\pi (6)(40+6) \\\\\\ SA=12\pi (46)\implies\implies SA=552\pi\)

Answer: 9000$

Step-by-step explanation:

Let 's use the formula to find the vertex of the parabola:

ax²+bx+c=0

\(\displaystyle x_v=-\frac{b}{2a} \\\\ Where :\\\\ y_v- maximum \ \ income \\\\ y_v=a(x_v)^2+bx_v+c \\\\ Then \ in \ \ our \ \ case : \\\\ -4p^2+1200p =0 \\\\ x_v=-\frac{1200}{-4\cdot 2} =150 \\\\ y_v=-4\cdot (150)^2+150\cdot 1200 \\\\ y_v=150\cdot 1200-150\cdot 600 \\\\ y_v=600\cdot 150=\bf 9000 \\)

The exponential function y = \(3^x\) grows at a faster rate than the quadratic function for x > 0.

The exponential function that grows at a faster rate than the quadratic function for x > 0 is y = \(3^x\).

To see why, let's first look at the rate of change of the quadratic function.

We can find this by looking at the differences between consecutive y-values:
1 - 0 &= 1
3 - 1 &= 2
12 - 3 &= 9
27 - 12 &= 15
$$We can see that the rate of change is increasing as x increases.

For example, the rate of change between the first two points is 1, while the rate of change between the last two points is 15.

However, this rate of change is still constant within each interval of x-values.

y = \(3^x \\\)  

Let's take a look at its y-values for the same x-values as in the table:
\(3^0\) &= 1

\(3^1\) &= 3
\(3^2\) &= 9
\(3^3\) &= 27
$$We can see that the rate of change is not constant, but rather increasing, just like in the quadratic function.

However, the rate of change is greater for y = \(3^x\).

For example, the rate of change between the first two points is 2, while the rate of change between the last two points is 18.

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Step 1. The expression that we have is:

And we need to solve for v.

Step 2. To solve this problem we use the following rule for absolute value expressions:

In our case:

Step 3. The final step to solve is to subtract 4 to all parts of the expression:

Answer:

Answer:

x = 0

Step-by-step explanation:

Answer:

Yep!

Step-by-step explanation:

After considering the given data we conclude that the given width of the rectangle is 5x - 8, under the condition that the given area of the rectangle is 35x²-36x-32 and length of the rectangle is 7x + 4.

To evaluate the width of a rectangle given its area and length, we can apply the formula:
width = area / length
As we all know the area of the rectangle is 35x²-36x-32 square inches and its length is 7x + 4 inches.
So, staging these values in the formula above, we get:
width = (35x²-36x-32) / (7x + 4)
Here we have to perform polynomial division.  
(35x²-36x-32) / (7x + 4)
= (5x - 8)(7x + 4) / (7x + 4)
= 5x - 8
Therefore, the measure of the width is  5x - 8.
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Answer:

let g be f(x)

g= 4x -3

. 7

make x the subject

7g +3. =x

4

the inverse function of f(x) = 7x+3

4

The probability of getting one defective component per customer is very low, less than 1/14,254. The probability of getting five defective components to a single customer is also low, 1/14,254. And the probability of getting two defective components to two different customers and the rest of the customers getting none is 10/14,254.

(a) The probability that each customer will receive one defective component is the probability that the five defective components will be drawn in a specific order, divided by the total number of ways the 50 components can be drawn. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a specific order. So the probability is (5!)/(5049484746) = 1/14,254.

(b) The probability that one customer will have drawn five defective components is the probability that all five defective components will be drawn in a row, divided by the total number of ways the 50 components can be drawn. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a row. So the probability is (1!)/(5049484746) = 1/14,254,

(c) The probability that two customers will receive two defective components each, two none, and the other one, is the probability that the five defective components will be drawn in a specific order and then divided among the five customers in a specific way, divided by the total number of ways the 50 components can be drawn. The number of ways to divide the defective components among the customers is 5!/(2!2!1!) = 10. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a specific order, so the probability is (105!)/(50494847*46) = 10/14,254.

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Answer:

5/12

Step-by-step explanation:

5/12

Answer:

So first you'll want to line your numbers in order. 0,3,4,6,6,7,7,7,

The median refers to number that is in the middle, so 6 is the median.

To find the range, you subtract the biggest number with the smallest. So 9 is the range.

And 7 is the mode because it's repeated the most.

hope this helps

median:6

range: 9

mode: 7

Answer:

500 minutes= 8.33 hr

Step-by-step explanation:

The number of hours that he works will be 8 hours and 20 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Jude arrived at work at 7:55 am and left at 4:15 pm.

Convert the time into 24 hours system. Then we have

4:15 pm = 16: 15

7:55 am = 7: 55

Then the number of hours is given as,

    16: 15

  -  7: 55

     8: 20

Then the number of hours that he works will be 8 hours and 20 minutes.

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The solution of the function - 6x + 14 = - 2ˣ + 6 is 2. The required graphs are given below.  

We can solve the given function by adding or subtracting the same integer on both sides. Here adding or subtracting the same number on both sides doesn't change the condition of the function. In end-use trial and error mothed to find the value of the variable 'x'

Here we have

f(x) = - 6x + 14  and g(x) = - 2ˣ + 6  

The solution of - 6x + 14 = - 2ˣ + 6 can be calculated as follows

=> - 6x + 14 =  - 2ˣ + 6    

=> - 6x + 8 = - 2ˣ    

=> - 6x + 8 = - 2ˣ

=> - 6x + 2ˣ = - 8          

By using the trial and error method

At x = 2

=> - 6(2) + 2² = -8

=> - 12 + 4 = -8

Therefore,

The solution of the function - 6x + 14 = - 2ˣ + 6 is 2. The required graphs are given below.  

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Answer:

23rd term

Step-by-step explanation:

Plz mark as Brainliest!

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

The value of a is 5 on x- axis.

The pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

Given:

From the Graph we can mark the Coordinates.

One which the marked coordinates is (a, b) where is located at x- axis and y is located at y- axis.

Then, From the Figure we can see that a lies in between Coordinates (3, 3) and (6, 0) and close to a.

Hence, the value of a is 5 on x- axis.

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Answer:

Ohh i hope i can help you, but i dont know that, i had that in exam and didnt know

Answer: The column that comes down,

Step-by-step explanation: On the left

Answer:Well lets look at the arithmetic of this. Logically we know that all 42 animals have at least 2 feet each so 42 x 2 =84 that means the remaining feet cannot belong to the chickens and therefore 114–84= 30 remaining feet belong to the cows, therefore you divide 30/2 = 15 cows who have 4 legs each, 60 legs in total. 42–15 = 27 chickens who have 2 legs each, 54 legs in total. This adds up to the total of legs of 114, 60 + 54. Therefore out of a total of 42 animals, 15 are cows and 27 are chickens.

Step-by-step explanation:

The value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

The given equations are \(y=4x+7\) and \(y=9x+8\).

We have to solve these equations using the substitution method.

Substitution Method

In this method we find the value of one variable from one equation using elimination method and then put that value of that variable in other equation. In simple word we substitute value of one variable from one equation to the other equation.

In the given equation the two equation are

\(y=4x+7\dots\dots\dots\)Equation \((1)\)

\(y=9x+8\dots\dots\dots\)Equation \((2)\)

Putting the value of \(y\) from the Equation \((1)\) in the Equation \((2)\)

\(4x+7=9x+8\)

Subtract \(8\) on both side

\(4x+7-8=9x+8-8\)

Simplifying

\(4x-1=9x\)

Subtract \(4x\) on both side

\(4x-1-4x=9x-4x\)

Simplifying

\(-1=5x\)

\(5x=-1\)

Divide by \(5\) on both side

\(\frac{5}{5}x=-\frac{1}{5}\)

\(x=-\frac{1}{5}\)

Now putting the value of \(x\) in equation \((1)\)

\(y=4(-\frac{1}{5})+7\)

Simplifying

\(y=-\frac{4}{5}+7\)

\(y=-\frac{4}{5}+7\times\frac{5}{5}\)

\(y=-\frac{4}{5}+\frac{35}{5}\)

\(y=\frac{-4+35}{5}\)

\(y=\frac{31}{5}\)

Hence, the value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

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